Numbers·160
160
CLX
10100000

The number 160 — factors and divisors

Abundant

160 = 2⁵ × 5. It has 12 divisors, adding up to 378.

Its divisors, itself excluded, add up to more than the number.

Laid out as dots

It fits as 10 × 16. The more divisors, the closer to a square.

Prime factors
2⁵ × 5
Divisors
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Sum of divisors
378
Sum without itself
218
Coprime below it
64
Digit sum
7
Digital root
7
Roman numeral
CLX
Binary
10100000
Octal
240
Hexadecimal
A0
Base 36
4G
Bits
8 bits
Collatz steps
10 steps · peaks at 160
Prime before
157
Prime after
163

The grid

Ten per row, twenty rows. The filled cells are primes — you can see the multiples of 2 and 5 drop out in columns.

Numbers either side

How to read this

  • The prime factors are what the number is made of. The count and sum of divisors both follow from them.
  • Add the divisors, take the number away, and you get perfect, abundant or deficient.
  • The length of the binary form is the bit count. 255 taking eight digits is what a byte is.
  • Collatz: halve it if even, triple it and add one if odd. The count is how many moves reach 1.

Frequently asked questions

Q. Is 160 a prime number?

No. It breaks down into 2⁵ × 5.

Q. What are the divisors of 160?

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 — 12 divisors in all, adding up to 378.

Q. How is 160 written in binary?

10100000, which is 8 bits. In hexadecimal it is A0.

Q. How many Collatz steps does 160 take?

It reaches 1 in 10, peaking at 160 on the way.